On generalized γµ-closed sets and related continuity

Abstract

In this paper our main interest is to introduce a new type of generalized open sets defined in terms of an operation on a generalized topological space. We have studied some properties of this newly defined sets. As an application, we have introduced some weak separation axioms and discussed some of their properties. Finally, we have studied some preservation theorems in terms of some irresolute functions.

Keywords

• operation
• µ-open set
• γµ -open set
• γµ g-closed set
• (γµ
• βλ)-irresolute function
• 54a10
• 54c08